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math.CT2023
Proper morphisms of -topoi
Louis Martini, Sebastian Wolf
We characterise proper morphisms of -topoi in terms of a relativised notion of compactness: we show that a geometric morphism of -topoi is proper if and only if it…
math.CT2023
Internal higher topos theory
Louis Martini, Sebastian Wolf
We develop the theory of topoi internal to an arbitrary -topos . We provide several characterisations of these, including an internal analogue of Lurie's charac…